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Finding the Fourth Proportional to 22,658.15, 34,008.84 and 13,910.15

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Solution

The fourth proportional to 22,658.15, 34,008.84 and 13,910.15 is: 20,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.15 : 34,008.84 = 13,910.15 : x
  2. Step 2: Convert to fraction form
    22,658.15/34,008.84 = 13,910.15/x
  3. Step 3: Cross multiply
    22,658.15x = 34,008.84 × 13,910.15
  4. Step 4: Simplify right side
    22,658.15x = 473,067,895.68
  5. Step 5: Solve for x
    x = 473,067,895.68/22,658.15
  6. Step 6: Final answer
    x = 20,878.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.